A201398 Decimal expansion of x satisfying x^2 + 3 = sec(x) and 0 < x < Pi.

1, 3, 6, 3, 5, 1, 9, 4, 6, 8, 4, 8, 6, 2, 0, 1, 8, 5, 7, 3, 5, 2, 2, 8, 1, 2, 8, 4, 5, 8, 4, 2, 3, 7, 8, 7, 7, 3, 2, 9, 5, 1, 4, 4, 9, 4, 6, 3, 1, 2, 5, 9, 4, 4, 8, 5, 3, 8, 7, 8, 9, 0, 6, 1, 7, 8, 7, 4, 8, 5, 4, 8, 4, 5, 6, 2, 7, 2, 1, 2, 4, 5, 7, 8, 9, 9, 5, 1, 3, 5, 3, 7, 2, 0, 8, 7, 7, 9, 4

Offset

1,2

Comments

See A201397 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=1..99.

Example

x=1.363519468486201857352281284584237877...

Mathematica

a = 1; c = 3;
f[x_] := a*x^2 + c; g[x_] := Sec[x]
Plot[{f[x], g[x]}, {x, 0, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.3, 1.4}, WorkingPrecision -> 110]
RealDigits[r]   (* A201398 *)

Crossrefs

Cf. A201397.

Sequence in context: A111461 A111762 A185582 * A072971 A256681 A340704

Adjacent sequences: A201395 A201396 A201397 * A201399 A201400 A201401

Keyword

nonn,cons

Author

Clark Kimberling, Dec 01 2011

Status

approved